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arxiv: 1202.2056 · v3 · pith:B5CSXY5Pnew · submitted 2012-02-09 · 🧮 math.GN

Universally Kuratowski-Ulam spaces and open-open games

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keywords spacesgameskuratowski-ulamuniversallyclassdanielsequivalentexamine
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We examine the class of spaces in which the second player has a winning strategy in the open--open game. We show that this spaces are not universally Kuratowski-Ulam. We also show that the games G and G7 introduced by P. Daniels, K. Kunen, H. Zhou [Fund. Math. 145 (1994), no. 3, 205--220] are not equivalent.

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